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Simplifying 3(x + -1) + -1(x + -2) = 3(x + -4) Reorder the terms: 3(-1 + x) + -1(x + -2) = 3(x + -4) (-1 * 3 + x * 3) + -1(x + -2) = 3(x + -4) (-3 + 3x) + -1(x + -2) = 3(x + -4) Reorder the terms: -3 + 3x + -1(-2 + x) = 3(x + -4) -3 + 3x + (-2 * -1 + x * -1) = 3(x + -4) -3 + 3x + (2 + -1x) = 3(x + -4) Reorder the terms: -3 + 2 + 3x + -1x = 3(x + -4) Combine like terms: -3 + 2 = -1 -1 + 3x + -1x = 3(x + -4) Combine like terms: 3x + -1x = 2x -1 + 2x = 3(x + -4) Reorder the terms: -1 + 2x = 3(-4 + x) -1 + 2x = (-4 * 3 + x * 3) -1 + 2x = (-12 + 3x) Solving -1 + 2x = -12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -1 + 2x + -3x = -12 + 3x + -3x Combine like terms: 2x + -3x = -1x -1 + -1x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 -1 + -1x = -12 + 0 -1 + -1x = -12 Add '1' to each side of the equation. -1 + 1 + -1x = -12 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = -12 + 1 -1x = -12 + 1 Combine like terms: -12 + 1 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11
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